Question
In: Advanced Math
A mass of 9kg stretches a spring 17cm. The mass is acted on by an external...
A mass of 9kg stretches a spring 17cm. The mass is acted on by an external force of 7sin(t/3)N and moves in a medium that imparts a viscous force of 4N when the speed of the mass is 12cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 7cm/s, determine the position u of the mass at any time t. Use 9.8m/s2 as the acceleration due to gravity. Pay close attention to the units.
Solutions
Colby Messinger answered 1 week agoRelated Solutions
A mass 7kg of stretches a spring 18cm. The mass is acted on by an external...
A mass 7kg of stretches a spring 18cm. The mass is acted on by
an external force of 5sin(t/2) N and moves in a medium that imparts
a viscous force of 4N when the speed of the mass is 8cm/s. If the
mass is set in motion from its equilibrium position with an initial
velocity of 4cm/s, determine the position of the mass at any time
t. Use 9.8m/s2 as the acceleration due to gravity. Pay close
attention to the...
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by...
A mass of 8 kg stretches a spring 16 cm. The mass is acted on by
an external force of 7sin(t/4)N and moves in a medium that imparts
a viscous force of 3 N when the speed of the mass is 6 cm/s.If the
mass is set in motion from its equilibrium position with an initial
velocity of 4 cm/s, determine the position u of the mass at any
time t. Use 9.8 m/s^2 as the acceleration due to gravity....
A mass that weight 5lb stretches a spring 3in. The system is acted on by an...
A mass that weight 5lb stretches a spring 3in. The system is
acted on by an external force 6sin(8sqrt2 t)lb. If the mass is
pulled down 4in and then released, determine the position of the
mass at any time t. Use 32ft/s2 as the acceleration due to gravity.
Pay close attention to the units.
u(t)=
A mass that weight 15lb15lb stretches a spring 8in8in. The system is acted on by an...
A mass that weight 15lb15lb stretches a spring 8in8in. The
system is acted on by an external force
9sin(43–√t)lb9sin(43t)lb.If the mass is pulled down 3in3in and
then released, determine the position of the mass at any time tt.
Use 32ft/s232ft/s2 as the acceleration due to gravity. Pay close
attention to the units. Answer must be in inches
A mass that weight 6lb stretches a spring 4in. The system is acted on by an...
A mass that weight 6lb stretches a spring 4in. The system is
acted on by an external force 2sin(4sqrt(6)t)lb.If the mass is
pulled down 3in and then released, determine the position of the
mass at any time t. Use 32ft/s^2 as the acceleration due to
gravity. Pay close attention to the units. Answer must be in
inches
A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in...
A mass of 50 g stretches a spring 3.828125 cm. If the mass is
set in motion from its equilibrium position with a downward
velocity of 50 cms, and if there is no damping, determine the
position u of the mass at any time t.
Enclose arguments of functions in parentheses. For example,
sin(2x).
Assume g=9.8 ms2. Enter an exact answer.
u(t)= m
When does the mass first return to its equilibrium position?
Enter an exact answer.
t= s
A mass of 1.5 kg stretches a spring 0.05 mm. The mass is in a medium...
A mass of 1.5 kg stretches a spring 0.05 mm. The mass is in a
medium that exerts a viscous resistance of 240 NNwhen the mass has
a velocity of 6 msms. The viscous resistance is proportional to the
speed of the object.
Suppose the object is displaced an additional 0.06 mm and
released.
Find an function to express the object's displacement from the
spring's natural position, in mm after tt seconds. Let
positive displacements indicate a stretched spring, and...
A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in...
A mass of 50 g stretches a spring 3.828125 cm. If the mass is
set in motion from its equilibrium position with a downward
velocity of 10 cm/s, and if there is no damping, determine the
position u of the mass at any time t.
Enclose arguments of functions in parentheses. For example,
sin(2x).
Assume g=9.8 ms2. Enter an exact answer.
A mass of 50 g stretches a spring 1.568 cm. If the mass is set in...
A mass of 50 g stretches a spring 1.568 cm. If the mass is set
in motion from its equilibrium position with a downward velocity of
50 cms, and if there is no damping, determine the position u of the
mass at any time t. Enclose arguments of functions in parentheses.
For example, sin(2x). Assume g=9.8 ms2. Enter an exact answer.
u(t)= m When does the mass first return to its equilibrium
position? Enter an exact answer. t=
A mass weighing 17 lb stretches a spring 7 in. The mass is attached to a...
A mass weighing 17 lb stretches a spring 7 in. The mass is
attached to a viscous damper with damping constant 2 lb *s/ft. The
mass is pushed upward, contracting the spring a distance of 2 in,
and then set into motion with a downward velocity of 2 in/s.
Determine the position u of the mass at any time t. Use 32 ft/s^2
as the acceleration due to gravity. Pay close attention to the
units. Leave answer in terms of...
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